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2015 AIME Problems
8
Sum of Digits is 20
Sum of Digits is 20
Source: 2015 AIME I Problem 8
March 20, 2015
AMC
AIME
AIME I
Problem Statement
For positive integer
n
n
n
, let
s
(
n
)
s(n)
s
(
n
)
denote the sum of the digits of
n
n
n
. Find the smallest positive integer
n
n
n
satisfying
s
(
n
)
=
s
(
n
+
864
)
=
20
s(n)=s(n+864)=20
s
(
n
)
=
s
(
n
+
864
)
=
20
.
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